Non-smooth stiffness and damping characteristics are commonly encountered in mechanical systems.
Both undamped and damped vibration absorbers are developed; the former has the advantage of cleaner vibration neutralization while the latter has a smoother stiffness adaptation.
This formulation is based on the assembly of the smoothed dynamic stiffnesses of each component in a classical way, followed by a manipulation in terms of structural paths to provide the smoothed frequency responses of the whole structure.
The demand for smooth transition between diverse stiffness zones implies an optimization of the composition of the enriched materials that will be used for such purpose, such as aggregate cement admixtures.
Two NESs have vibro-impact nonlinearities and the other four possess smooth but essentially nonlinear stiffnesses.
Due to the smoothing operator, no element stiffness matrix exists.
The course of XTE function (signals) analysis confirmed that the registered shape of track (characterized by relatively smooth curvatures due to track stiffness) is possible to be assessed after removing the uncertainty connected with measurement technique.
Spindle factor does not change between days 4 and 7 despite the accumulation of cells at the hydrogel's center, thus cell morphology may only reflect local absolute hydrogel stiffness as with smooth muscle cells [24].
One needs only values of assumed temperature/displacement on each segment of the smoothing domains to form thermal stiffness matrix/stiffness matrix of the system.
Despite the large sample-to-sample variability, the computational efficiency of beam models allows us to determine not only macroscopic stiffnesses but also smooth stress, strain, and rotation fields by averaging over sufficiently large ensembles of typically 6000 microstructure realizations for each system size and irregularity.
